Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume that n begins with 1.) $a _ { 1 } = 21 , a _ { k + 1 } = a _ { k } - 5$
A) $a _ { n } = 26 - 5 n$
B) $a _ { n } = 21 - 5 n$
C) $a _ { n } = 31 - 5 n$
D) $a _ { n } = 26$
E) $\quad a _ { n } = 21 ( n - 1 )$

Question

Quizplus · Accepted Answer

The sequence starts at 21 and decreases by 5 each time: 21, 16, 11, 6, 1. The nth term is given by $a_n = 21 - 5(n-1)$, which simplifies to $a_n = 26 - 5n$.

Write the First Five Terms of the Sequence Defined Recursively a1=21,ak+1=ak−5a _ { 1 } = 21 , a _ { k + 1 } = a _ { k } - 5a1​=21,ak+1​=ak​−5

Write the First Five Terms of the Sequence Defined Recursively $a _ { 1 } = 21 , a _ { k + 1 } = a _ { k } - 5$